Learning and Doing MathematicsHave you ever been stuck on a mathematical problem and not known what to do? Hae you ever stared at a blank sheet of paper, unable to start on a problem? Good! This book will help you not only to know what to do when this happens, but also to benefit from the experience. This book is intended for students of mathematics on a sixth form and higher education courses, and is based on a unit of the Open University Foundation Course in Mathematics. |
Contents
Interlude A On Conjecturing | 7 |
Interlude B On Crystallizing | 20 |
On Expectation | 35 |
Copyright | |
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Common terms and phrases
algebra angles arithmetic begin Binomial Theorem calculations checked circle circular segment confidence-inspiring confidently manipulable conjecture consecutive numbers context convincing argument cubes cubic decimal diagram digits divides edges equal equation exactly N divisors Exercise experience expression factors false formula function geometric geometric progression given gives going graph hypotenuse idea Interlude investigate irrational numbers ITRY KNOW and WANT look master mathematical thinking mathematicians mathematics texts means modifying needed noticed number of divisors number with exactly odd number pattern perfect square perimeter points polygon positive integer prime Pythagoras Pythagorean theorem Pythagorean triples quadratic question rational number real number result right-angled triangle seems sense sequence side someone sort specialize back square root statement STUCK succinct suggests technique tetrahedron theorem things true tutor understanding whole numbers write